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Popular >

simplify (3 a/2+b/4-2c)^2

Solution

simplify

(3 \frac{a}{2} + \frac{b}{4} - 2 c)^{2}

Solution

\frac{( - 8 c + 6 a + b ) ^{2}}{16}

Solution steps

(3 \cdot \frac{a}{2} + \frac{b}{4} - 2 c)^{2}

Simplify

3 \cdot \frac{a}{2} + \frac{b}{4} - 2 c : \frac{- 8 c + 6 a + b}{4}

= (\frac{- 8 c + 6 a + b}{4})^{2}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( - 8 c + 6 a + b ) ^{2}}{4 ^{2}}

4^{2} = 16

= \frac{( - 8 c + 6 a + b ) ^{2}}{16}

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Frequently Asked Questions (FAQ)

What is (3 a/2+b/4-2c)^2 ?
The solution to (3 a/2+b/4-2c)^2 is ((-8c+6a+b)^2)/(16)